Is there a specific supplication that the Prophet (peace be upon him) used to say when drawing lots among his wives for travel?

It is narrated in the Sahihayn that Aisha (may Allah be pleased with her) mentioned that when the Prophet (peace be upon him) intended to travel, he would cast lots among his wives, and whichever one's lot came out, he would take her with him. It is not reported that the Prophet (peace be upon him) used to recite a supplication when casting lots.